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Finding the Fourth Proportional to 9,764.03, 14,648.53 and 2,838.53

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Solution

The fourth proportional to 9,764.03, 14,648.53 and 2,838.53 is: 4,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.03 : 14,648.53 = 2,838.53 : x
  2. Step 2: Convert to fraction form
    9,764.03/14,648.53 = 2,838.53/x
  3. Step 3: Cross multiply
    9,764.03x = 14,648.53 × 2,838.53
  4. Step 4: Simplify right side
    9,764.03x = 41,580,291.86
  5. Step 5: Solve for x
    x = 41,580,291.86/9,764.03
  6. Step 6: Final answer
    x = 4,258.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.